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An approximate geostrophic streamfunction for use in density surfaces


McDougall, TJ and Klocker, A, An approximate geostrophic streamfunction for use in density surfaces, Ocean Modelling, 32, (3-4) pp. 105-117. ISSN 1463-5003 (2010) [Refereed Article]

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DOI: doi:10.1016/j.ocemod.2009.10.006


An approximate expression is derived for the geostrophic streamfunction in approximately neutral surfaces, phi(n), namely phi(n) = 1/2 Delta p (delta) over tilde - 1/12 T-b(Theta)/rho Delta Theta(Delta p)(2) - integral(p)(0)(delta) over tilde dp'. This expression involves the specific volume anomaly 3 defined with respect to a reference point ((S) over tilde (A), (Theta) over tilde, (p) over tilde) on the surface, Delta p and Delta Theta are the differences in pressure and Conservative Temperature with respect to p and Theta, respectively, and T-b(Theta) the thermobaric coefficient. This geostrophic streamfunction is shown to be more accurate than previously available choices of geostrophic streamfunction such as the Montgomery streamfunction. Also, by writing expressions for the horizontal differences on a regular horizontal grid of a localized form of the above geostrophic streamfunction, an over-determined set of equations is developed and solved to numerically obtain a very accurate geostrophic streamfunction on an approximately neutral surface; the remaining error in this streamfunction is caused only by neutral helicity.

Item Details

Item Type:Refereed Article
Keywords:Mixing; Thermobaric; Circulation; Geostrophy; Streamfunction; Layered ocean models
Research Division:Earth Sciences
Research Group:Oceanography
Research Field:Physical oceanography
Objective Division:Environmental Management
Objective Group:Marine systems and management
Objective Field:Oceanic processes (excl. in the Antarctic and Southern Ocean)
UTAS Author:Klocker, A (Dr Andreas Klocker)
ID Code:70509
Year Published:2010
Web of Science® Times Cited:18
Deposited By:Research Division
Deposited On:2011-06-23
Last Modified:2014-11-14

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